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Finding the Fourth Proportional to 105.83, 146.06 and 64.40

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Solution

The fourth proportional to 105.83, 146.06 and 64.40 is: 88.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 146.06 = 64.40 : x
  2. Step 2: Convert to fraction form
    105.83/146.06 = 64.40/x
  3. Step 3: Cross multiply
    105.83x = 146.06 × 64.40
  4. Step 4: Simplify right side
    105.83x = 9,405.36
  5. Step 5: Solve for x
    x = 9,405.36/105.83
  6. Step 6: Final answer
    x = 88.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.